曲线薄壁箱梁侧向静力分析的能量变分法  

ENERGY-VARIATIONAL METHOD OF LATERAL STATIC ANALYSIS OF THIN-WALLED CURVED BOX GIRDERS

作　　者：甘亚南[1] 周广春[1,2] 吴亚平[3] 

机构地区：[1]盐城工学院土木工程学院,盐城224051 [2]哈尔滨工业大学土木工程学院,哈尔滨150090 [3]兰州交通大学土木工程学院,兰州730070

出　　处：《固体力学学报》2011年第4期411-418,共8页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金项目(50678076)资助

摘　　要：以能量变分原理为基础,在曲线箱梁侧向综合考虑了剪力滞后和剪切变形效应的影响,建立了薄壁曲线箱梁的侧向弹性控制微分方程和自然边界条件,获得了相应广义位移的闭合解.论文提出了一种曲线箱梁侧向静力学特性分析的解析法,揭示了各参数之间的内在联系.算例中论文解析解与板壳有限元结果吻合较好,证明了本文方法的有效性,因而更具理论价值和工程实际意义.Based on the energy variation principle, this paper proposes an approach of analyzing the effect of shear lag, shear deformation on the lateral static characteristic of curved thin-walled box girders generally applied in engineering. The minimum potential principle is applied to establish the lateral gover- ning differential equations and the corresponding natural boundary conditions. The closed-form solutions of generalized displacements are obtained. The variations of shear lag effects of curved box girders,caused by the change of factors such as span-height ratio, types of loading and natural boundary conditions, are dis- cussed. The results are compared with finite shell element solutions to verify the validity of the proposed approach.

关 键 词：桥梁工程 剪力滞后 最小势能原理 侧向力学分析 曲线薄壁箱梁 

分 类 号：U448.213[建筑科学—桥梁与隧道工程]